putnam-v1 / putnam-1965-b3

putnam-1965-b3

open

difficulty 4

credited

Run this goal:./swarm/run.sh --goal putnam-1965-b3

What it runs

The Lean statement the swarm must prove — kernel-verified at Gate A. The trailing sorry is the open obligation a proof replaces.

goals/putnam-1965-b3.lean

import Mathlib

open EuclideanGeometry Topology Filter Complex

theorem putnam_1965_b3 : {(a, b, c) : ℤ × ℤ × ℤ | a > 0 ∧ a ≤ b ∧ c > 0 ∧ a^2 + b^2 = c^2 ∧ a*b/(2 : ℚ) = 2*(a + b + c)}.ncard = 3 := by
  sorry

Runs (0)

No runs recorded for this suite yet — they appear here as the swarm attempts the benchmarks.